540533203315541 has 2 divisors, whose sum is σ = 540533203315542. Its totient is φ = 540533203315540.

The previous prime is 540533203315531. The next prime is 540533203315579. The reversal of 540533203315541 is 145513302335045.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 365255356839025 + 175277846476516 = 19111655^2 + 13239254^2 .

It is a cyclic number.

It is not a de Polignac number, because 540533203315541 - 2⁶ = 540533203315477 is a prime.

It is a super-2 number, since 2×540533203315541² (a number of 30 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 540533203315492 and 540533203315501.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (540533203315531) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270266601657770 + 270266601657771.

It is an arithmetic number, because the mean of its divisors is an integer number (270266601657771).

Almost surely, 2^{540533203315541} is an apocalyptic number.

It is an amenable number.

540533203315541 is a deficient number, since it is larger than the sum of its proper divisors (1).

540533203315541 is an equidigital number, since it uses as much as digits as its factorization.

540533203315541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1620000, while the sum is 44.

The spelling of 540533203315541 in words is "five hundred forty trillion, five hundred thirty-three billion, two hundred three million, three hundred fifteen thousand, five hundred forty-one".